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Simplifying 17 + 3(3x + -1) = 7x + -18 + -2x Reorder the terms: 17 + 3(-1 + 3x) = 7x + -18 + -2x 17 + (-1 * 3 + 3x * 3) = 7x + -18 + -2x 17 + (-3 + 9x) = 7x + -18 + -2x Combine like terms: 17 + -3 = 14 14 + 9x = 7x + -18 + -2x Reorder the terms: 14 + 9x = -18 + 7x + -2x Combine like terms: 7x + -2x = 5x 14 + 9x = -18 + 5x Solving 14 + 9x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 9x + -5x = -18 + 5x + -5x Combine like terms: 9x + -5x = 4x 14 + 4x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 4x = -18 + 0 14 + 4x = -18 Add '-14' to each side of the equation. 14 + -14 + 4x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -18 + -14 4x = -18 + -14 Combine like terms: -18 + -14 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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